△ Dynamics

Constitutional Dynamics Engine — provable state evolution
across the ICore ecosystem

◆ v0.1.0 · Verified Transitions · Phase Space Explorer

What is Dynamics?

The formal layer that models, verifies, and visualises provable state evolution across the ICore ecosystem. Every constitutional change — a package publish, agent birth, delegation update, or knowledge revision — is a verified transition that preserves all CITS invariants.

Dynamics answers the constitutional question: "Is this change valid?" — not as a static audit, but as a live, continuous proof that every state transition maintains or improves conformance.

State Machines

USDS Package Lifecycle

Created
Signed
Published
Active
Deprecated
Archived
→ sign → publish → activate → deprecate → archive

6 constitutional states with 5 verified transitions. Every package evolves through a provable lifecycle.

Life Agent Lifecycle

Born
Active
Suspended
Retired
→ activate → suspend → resume → retire

4 constitutional states. Every agent lifecycle is a verified trajectory from birth to retirement.

Trust Chain State

Pending
Verified
Revoked
→ verify → revoke → renew

3 constitutional states. Trust relationships are formal state machines with provable transitions.

Phase Space

The set of all reachable constitutional states from a given initial state — the map of constitutional possibility. Dynamics tracks every verified trajectory and projects future constitutional evolution.

◈ Trajectories

Signed, verified chains of transitions from genesis to present. Each trajectory is tamper-evident via chain root hashing.

Content-AddressedTamper-Evident

◈ Invariant Engine

Every transition is checked against CITS invariants. Critical failures block transitions. Major failures warn. Minor failures inform.

CriticalMajorMinor

◈ Provenance

Every state and transition is content-addressed. Same logical content = same ID across time and space. No silent state changes.

SHA-256Deterministic

Engine Architecture

DynamicsEngine { machines: 3 (USDS, Life, TrustChain) trajectories: verified chains from genesis → tip phaseSpace: union of all reachable states clock: global Lamport timestamp context: "https://initialcore.net/context/dyn-v1" }

Built on CBOR-LD for compact, content-addressed storage and JSON-LD for human/audit display. Linked data proofs ensure deterministic verification across all runtimes.